Two-scale convergence 论文

摘要

(Dedicated to the memory of Jacques-Louis Lions 1928-2001) This paper is devoted to the properties and applications of two-scale convergence introduced by Nguetseng in 1989. In a self-contained way, we present the details of the basic ideas in this theory. Moreover, we give an overview of the main homogenization problems which have been studied by this technique. We also bridge gaps in previous presentations, make generalizations and give alternative proofs.